Arcs, Chords, and Sectors
Arc length and Sector area
Tangents
Angle and segment relationships
Circles in a coordinate plane
100
A segments whose endpoints lie on a circle.
What is Chord?
100
The region bounded by an arc and its chord.
What is Segment of a Circle?
100
A line in the same plane as the circle that intersects it at exactly one point.
What is a tangent?
100
Name the theorems: AE∙EB=CE∙ED AE∙BE=CE∙DE AC∙BC=DC^2
What is Chord-Chord Product Theorem, Secant-Secant Product Theorem, and Secant-Tangent Product Theorem?
100
(x-h)^2+(y-k)^2=r^2. (^2 means to the second power or squared.)
What is the equation of a circle?
200
An arc whose points are on or in the exterior of the central angle. Equaling more than 180.
What is Major Arc?
200
A region bounded by two radii and their arc.
What is Sector of a Circle?
200
The point where the tangent and circle intersect.
What is the point of tangency?
200
Which theorem would be used to solve for y. (picture 1)
What is Secant-Tangent Product Theorem?
200
Point a with center a(3,-5) and a radius of 12.
What is (X-3)^2+(y+5)^2=144?
300
NM and JM are tangents to Circle L. When NM is 2a+5 and JM is 10a-6. Find NM and a.
What is NM is 7.75 and a=1.375?
300
Find the area of sector UWV. When the radius is 16 meters and the angle measurement is 147 degrees.
What is 104.53pi meters^2 or 328.4 meters^2?
300
Two Coplanar circles that intersect at exactly one point.
What are tangent circles?
300
Find the value of y. (picture1)
What is y=7?
300
Point s with the center s(1.5,2.5) and radius radical 3.
What is (X-1.5)^2+(y+2.5)^2=3?
400
Name the congruent Arcs, Angles, and Chords.
What is Arc NM is congruent to Arc LK, Angle NJM is congruent to Angle LJK, and Chord NM is congruent to Chord LK?
400
Distance along an arc measured in a linear units.
What is Arc Length?
400
A line that is tangent to two coplanar circles.
What is a common tangent?
400
Find the value of the variable and the length of each chord. Round to the nearest hundredth if necessary. (picture 2)
What is x=14.14, AB=21.14, and CD=20?
400
(X-3)^2+(y-3)^2=4.
Answer on schoology
500
An unbroken part of the circle consisting of two endpoints and all points on the circle in between them.
What is Arc?
500
Find the arc length of Arc DF. When the arc measurement is 80 degrees and the radius is 9 feet.
What is 4pi feet or 12.57 feet?
500
A segment of a tangent that touches the circle at only one point.
What is a tangent segment?
500
Find the value of the variable and the length of each secant segment. Round to the nearest hundredth if necessary. (picture 3)
What is x=10.42, AC=25.92, and CE=28.7?
500
(X+3)^2+(y+4)^2=1.
Answer is the second picture on schoology
M
e
n
u